THERMAL SCIENCE
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ON TRAVELING-WAVE SOLUTIONS FOR THE SCALING-LAW TELEGRAPH EQUATIONS
ABSTRACT
The aim of the study is to address the scaling-law telegraph equations with the Mandelbrot-scaling-law derivative. The traveling-wave solutions with use of the Kohlrausch-Williams-Watts function are considered in detail. The works are proposed to describe the physical models in complex topology.
KEYWORDS
scaling-law telegraph equation, Leibniz derivative, Mandelbrot-scaling-law derivative, traveling-wave solution, Kohlrausch-Williams-Watts function
PAPER SUBMITTED: 2020-05-01
PAPER REVISED: 2020-05-20
PAPER ACCEPTED: 2020-05-27
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006861Y
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